HASEGAWA Koji 長谷川浩司

… Alternative Names

Researcher Number	30208483
Other IDs
Affiliation (Current)	2020: 東北大学, 理学研究科, 准教授
Affiliation (based on the past Project Information) *help	2016: 東北大学, 理学研究科, 准教授 2013 – 2015: 東北大学, 理学(系)研究科(研究院), 准教授 2011 – 2012: 東北大学, 理学(系)研究科(研究院), 講師 2007 – 2009: Tohoku University, 大学院・理学研究科, 講師 2006: Tohoku University, Graduate School of Science, Lecturer, 大学院理学研究科, 講師 … More
Review Section/Research Field	Principal Investigator Algebra / Global analysis / Algebra Except Principal Investigator Algebra / 代数学・幾何学 / Global analysis / 解析学 / Geometry / Global analysis
Keywords	Principal Investigator 量子群 / 可積分系 / ヤン・バクスター方程式 / パンルヴェ方程式 / 可解格子模型 / 共形場理論 / マクドナルド多項式 / ラメ関数 / ソリトン / モノドロミー保存変形 … More Except Principal Investigator 代数群 / 量子群 / 可解格子模型 / 指標 / トーリック多様体 / 超幾何型微分方程式 / Yang-Baxter方程式 / 固有値 / 楕円曲線 / 可積分系 / 指標D加群 / 青木・Galfand方程式 / ト-リック多様体 / カスプ特異点 / 対称領域 / 局所化定理 / 指標公式 / ホロノミ-系 / 捩れ同変 / フ-リエ変換 / 超幾何型微分方程式系 / 青本・Gelfand方程式系 / 確定特異点型 / ホロノミー系 / 交叉ホモロジー / カノニカル基底 / 共形場 / 古典力学 / 函数微分方程式 / 半線型楕円型偏微分方程式 / 変分法 / ケーラー多様体 / ループ空間 / 同変ホロノミー系 / 確定特異点 / 代数群の表現 / トーラス作用 / 同変K理論 / 箙多様体 / 楕円量子可積分系 / (Z / nZ)対称模型 / ボソン化構成法 / 相関函数 / アフィン量子群 / 運動の積分 / 差分パンルヴェVI型方程式 / 量子離散ガルニエ系 / 8頂点模型 / Zn対称模型 / シグマ函数 / qKZ方程式 / Koornwinder多頂式 / 離散パンルベVI型方程式 / 頂点作用素 / 自由場表示 / 差分KZ方程式 / 結晶基底 / 格子模型 / GKO構造 / 楕円的量子群 / 可解模型 / ヘッケ環 / Demazure結晶 / Knizhnik-Zamolodchikov方程式 / Kostka多項式 / エネルギー関数 / XXZ模型 / screening作用素 / トロイダル代数 / solvable lattice models / quantum froups / vertex operators / bosonization / difference analogue of the KZ equation / crystal / エルゴード性 / スペクトラム / 量子エルゴード性 / ラプラシアン / ERGODICITY / SPECTRUM / EIGENVALUES / QUANTUM ERGODICITY / 離散的ラプラシアン / 結晶格子 / 中心極限定理 / ハーパー作用素 / アルバネーゼ写像 / 標準的実現 / グラフの調和写像 / 格子振動 / 離散幾何学 / グラフ / スペクトル幾何 / Discrete Laplacian / Crystal Lattice / Harper Operator / Central Limit Theorem / 対称対 / 線型代数群 / ラングランズ対応 / 相対跡公式 / アフィン類似 / 標数2の体 / 対称多様体 / 標数2の体上の代数群 / 佐武図式 / 制限ルート系 / シュバレー群 / L-関数 / 超幾何関数 / 超局所化 / 構成可能層 / 対合 / 簡約代数群 / L関数の零点 / Symmetric Pairs / Linear Algelvaic Groups / Involutions / Relative Trace Formake / Affineanalogues / 類数 / 密度定理 / Q-曲線 / F-特異点 / 密着閉方 / 既均質ベクトル空間 / 不定方程式 / 概均質ベクトル空間 / キーワード6 / キーワード7 / キーワード8 / class number / density theorems / toric varieties / Q-curves / F-singularities / tight closure / elliptic curves / Mordell-Weil group / モノドロミー保存変形 / パンルヴェ系 / 離散化 / 量子化 / 共形場理論 / パンルヴェ方程式 / 超離散化 / 表現論 / integrable systems / isomonodromic systems / Painleve systems / discretization / quantization / conformal field theory / quantum group Less

Pursuit of analogies between quantum difference isomonodromic systems, quantum Teichmuller theory, and solvable lattice modelsPrincipal Investigator
- Principal Investigator
  
  Hasegawa Koji
- Project Period (FY)
  2014 – 2016
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Tohoku University
Quantum discrete isomonodromy system from the viewpoint of quantum Teichmueller spacePrincipal Investigator
- Principal Investigator
  
  HASEGAWA Koji
- Project Period (FY)
  2011 – 2013
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Tohoku University
Quantization of difference nonlinear equation of Painleve typePrincipal Investigator
- Principal Investigator
  
  HASEGAWA Koji
- Project Period (FY)
  2007 – 2009
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Global analysis
- Research Institution
  Tohoku University
Correlation functions and form factors of elliptic integrable systems
- Principal Investigator
  
  QUANO Yas-hiro
- Project Period (FY)
  2007 – 2008
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Global analysis
- Research Institution
  Suzuka University of Medical Science
Discretization and quantization of integrable and isomonodromic systems
- Principal Investigator
  
  KUROKI Gen
- Project Period (FY)
  2005 – 2006
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Global analysis
- Research Institution
  Tohoku University
Study of Classical and Quantum Integrable Systems and their discretizationsPrincipal Investigator
- Principal Investigator
  
  HASEGAWA Koji
- Project Period (FY)
  2004 – 2005
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Global analysis
- Research Institution
  Tohoku University
Number Theory and Geometry related to Algebraic Groups
- Principal Investigator
  
  YUKIE Akihiko
- Project Period (FY)
  2000 – 2002
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Algebra
- Research Institution
  Tohoku University
STUDY OF DISCRETE TIME EVOLUTIONS IN DISCRETE QUANTUM INTEGRABLE SYSTEMSPrincipal Investigator
- Principal Investigator
  
  HASEGAWA Koji
- Project Period (FY)
  2000 – 2001
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Tohoku University
Fundamental Research of Discrete Geometric Analysis and Its Applications
- Principal Investigator
  
  SUNADA Toshikazu
- Project Period (FY)
  1998 – 2000
- Research Category
  
  Grant-in-Aid for Scientific Research (A).
- Research Field
  
  Global analysis
- Research Institution
  Tohoku University
SYMMETRIC PAIRS
- Principal Investigator
  
  UZAWA Tooru
- Project Period (FY)
  1998 – 2000
- Research Category
  
  Grant-in-Aid for Scientific Research (B).
- Research Field
  
  Algebra
- Research Institution
  RIKKYO UNIVERSITY
Diflenence equation versions of integrable systems and geometric structures in the backgroundPrincipal Investigator
- Principal Investigator
  
  KUROKI Gen, 長谷川浩司
- Project Period (FY)
  1997 – 1998
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Tohoku University
格子模型と等価な差分方程式系の研究Principal Investigator
- Principal Investigator
  
  長谷川浩司
- Project Period (FY)
  1996
- Research Category
  
  Grant-in-Aid for Scientific Research on Priority Areas
- Research Institution
  Tohoku University
ヤン・バクスター方程式の楕円函数解に付随する代数的構造Principal Investigator
- Principal Investigator
  
  長谷川浩司
- Project Period (FY)
  1996
- Research Category
  
  Grant-in-Aid for Encouragement of Young Scientists (A)
- Research Field
  
  Algebra
- Research Institution
  Tohoku University
Mathematics of Symmetry
- Principal Investigator
  
  MIWA Tetsuji
- Project Period (FY)
  1996 – 1998
- Research Category
  
  Grant-in-Aid for Scientific Research (A)
- Research Field
  
  Algebra
- Research Institution
  KYOTO UNIVERSITY
STUDY ON QUANTUM ERGODIC THEORY
- Principal Investigator
  
  SUNADA Toshikazu
- Project Period (FY)
  1996 – 1997
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  TOHOKU UNIVERSITY
超幾何型関数と表現論
- Principal Investigator
  
  堀田良之
- Project Period (FY)
  1994
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Tohoku University
共形場理論及び可解格子模型に現れる特殊函数Principal Investigator
- Principal Investigator
  
  長谷川浩司
- Project Period (FY)
  1993
- Research Category
  
  Grant-in-Aid for Scientific Research on Priority Areas
- Research Institution
  Tohoku University
代数的手法による表現論
- Principal Investigator
  
  堀田良之
- Project Period (FY)
  1992
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  代数学・幾何学
- Research Institution
  Tohoku University
古典力学における数学的諸問題
- Principal Investigator
  
  伊藤秀一
- Project Period (FY)
  1992
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Tohoku University
代数的表現論の開発
- Principal Investigator
  
  堀田良之
- Project Period (FY)
  1990
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  代数学・幾何学
- Research Institution
  Tohoku University
D加群と表現論
- Principal Investigator
  
  堀田良之
- Project Period (FY)
  1989
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  代数学・幾何学
- Research Institution
  Tohoku University

All 2015 2013 2012 2011 2009 2007 2004 Other

All Journal Article Presentation Book

[Book] 線型代数-linear algebra 改訂版2015
- Author(s)
  長谷川浩司
- Total Pages
  420
- Publisher
  日本評論社
- Data Source
  KAKENHI-PROJECT-26400033
[Book] 線型代数 - Liner Algebra2004
- Author(s)
  長谷川浩司
- Total Pages
  391
- Publisher
  日本評論社
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-16540182
[Book] 線型代数2004
- Author(s)
  長谷川浩司
- Total Pages
  404
- Publisher
  日本評論社
- Data Source
  KAKENHI-PROJECT-16540182
[Book] Linear Algebra2004
- Author(s)
  Koji Hasegawa
- Total Pages
  391
- Publisher
  Nihon Hyoronsha
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-16540182
[Journal Article] Quantizing the Painleve VI equation : The Lax formalism2013
- Author(s)
  Koji Hasegawa
- Journal Title
  
  Lett. Math. Phys
  
  Volume: 103 no.8 Pages: 865-879
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23540004
[Journal Article] Quantizing the Painleve VI equation: The Lax formalism2013
- Author(s)
  Koji Hasegawa
- Journal Title
  
  Lett. Math. Phys.
  
  Volume: online first Pages: 1-15
- DOI
  10.1007/s11005-013-0620-y
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23540004
[Journal Article] Quantizing the Bäcklund transforma -tions of Painlevé equations and the quantum discrete Painlevé VI equa -tion2011
- Author(s)
  Koji Hasegawa
- Journal Title
  
  Advanced Studies in Pure Mathematics 61"Exploration of New Structures and Natural Constructions in Mathematical Physics", Japan Math. Soc
  
  Pages: 275-288
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23540004
[Journal Article] Quantizing the Backlund transformations of Painlev’e equations and the quantum discrete Painlev’e VI equation2011
- Author(s)
  Koji Hasegawa
- Journal Title
  
  Advanced Studies in　Pure　Mathematics
  
  Volume: 61 Pages: 275-288
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23540004
[Journal Article] Quantizing the Backlund transformations of Painleve equations and the quantum discrete Painleve VI equation
- Author(s)
  K Hasegawa
- Journal Title
  
  Advanced Studies in Pure Mathematics (to appear)
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540207
[Presentation] 量子離散ガルニエ系のラックス形式2013
- Author(s)
  Koji Hasegawa
- Organizer
  日本数学会秋季総合分科会, 無限可積分系セッション一般講演
- Place of Presentation
  愛媛大学
- Year and Date
  2013-09-24
- Data Source
  KAKENHI-PROJECT-23540004
[Presentation] Quantizing the discrete Painlev’e VI equation2012
- Author(s)
  Koji Hasegawa
- Organizer
  Workshop "Integrable Systems, Random Matrices, Algebraic Geometry and Geometric Invariants(招待講演)
- Place of Presentation
  Steklov Institute, Moscow, Russia
- Data Source
  KAKENHI-PROJECT-23540004
[Presentation] 量子離散パンルヴェVI型方程式のラックス形式2012
- Author(s)
  長谷川浩司
- Organizer
  日本数学会
- Place of Presentation
  九州大学
- Data Source
  KAKENHI-PROJECT-23540004
[Presentation] 量子離散パンルヴェVI 型方程式のラックス形式2012
- Author(s)
  Koji Hasegawa
- Organizer
  日本数学会秋季総合分科会, 無限可積分系セッション一般講演
- Place of Presentation
  九州大学
- Year and Date
  2012-09-18
- Data Source
  KAKENHI-PROJECT-23540004
[Presentation] Quantizing the discrete Painlev’e VI equation2011
- Author(s)
  Koji Hasegawa
- Organizer
  Infinite Analysis 11 Winter School: "Quantum cluster algebras and related topics"(招待講演)
- Place of Presentation
  大阪大学大学院理学研究科
- Data Source
  KAKENHI-PROJECT-23540004
[Presentation] Quantizing the discrete Painleve VI equation2009
- Author(s)
  K Hasegawa
- Organizer
  Fusion of Integrable Systems and Geometry
- Place of Presentation
  Tohoku university
- Year and Date
  2009-04-17
- Data Source
  KAKENHI-PROJECT-19540207
[Presentation] Quantization of discrete Painlev'e equations2007
- Author(s)
  Koji Hasegawa
- Organizer
  The 3rd Japan-Korea Workshop on Algebra and Combinatorics
- Place of Presentation
  Kyushu University Hakozaki Campus
- Year and Date
  2007-09-15
- Data Source
  KAKENHI-PROJECT-19540207
[Presentation] Quantization of discrete Painleve equatioes2007
- Author(s)
  長谷川浩司
- Organizer
  Japan-Korea workshop on algebra and combinato-rics
- Place of Presentation
  九州大学数理学研究院
- Year and Date
  2007-09-15
- Data Source
  KAKENHI-PROJECT-19540207
[Presentation] 量子離散ガルニエ系のラックス形式
- Author(s)
  長谷川浩司
- Organizer
  日本数学会無限可積分系セッション
- Place of Presentation
  愛媛大学
- Data Source
  KAKENHI-PROJECT-23540004

1. KUROKI Gen (10234593)

# of Collaborated Projects: 14 results

# of Collaborated Products: 0 results
2. ISHIDA Masanori (30124548)

# of Collaborated Projects: 5 results

# of Collaborated Products: 0 results
3. 堀田良之 (70028190)

# of Collaborated Projects: 4 results

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4. 小田忠雄 (60022555)

# of Collaborated Projects: 4 results

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5. KIKUCHI Tetsuya (00374900)

# of Collaborated Projects: 3 results

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6. SHIRAISHI Un'ichi (20272536)

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7. NAKAYASHIKI Atsushi (10237456)

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8. Yamada Yasuhiko (00202383)

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9. 齋藤睦 (70215565)

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10. 中島啓 (00201666)

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11. UZAWA Tooru (40232813)

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12. NAGOYA Hajime (80447367)

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13. SUNADA Toshikazu (20022741)

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14. SAITO Kazuyuki (60004397)

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15. 佐武一郎 (00133934)

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16. 清水勇二 (80187468)

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17. 伊藤秀一 (90159905)

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18. 堀畑和弘 (10229239)

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19. 板東重稔 (40165064)

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20. 高木泉 (40154744)

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21. 加藤順二 (80004290)

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22. QUANO Yas-hiro (80309038)

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23. MIWA Tetsuji (10027386)

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24. KONNO Hitoshi (00291477)

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25. OKADO Masato (70221843)

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26. KUNIBA Atsuo (70211886)

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27. 梁成吉 (70201118)

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28. NAYATANI Shin (70222180)

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29. KOTANI Motoko (50230024)

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30. URAKAWA Hajime (50022679)

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31. 藤原耕二 (60229078)

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33. 新井仁之 (10175953)

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34. YAMADA Yuuji (40287917)

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35. AOKI Noboru (30183130)

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36. FUJII Akio (50097226)

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37. YUKIE Akihiko (20312548)

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38. OGATA Shoetsu (90177113)

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39. NAKAMURA Tetsuo (90016147)

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40. SATO atsushi (30241516)

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41. HARA Nobuo (90298167)

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42. 森田康夫 (20011653)

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43. IKEDA Takeshi (40309539)

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HASEGAWA Koji 長谷川 浩司

長谷川 浩司 ハセカ゛ワ コウジ

Research Projects

Research Products

Co-Researchers

Pursuit of analogies between quantum difference isomonodromic systems, quantum Teichmuller theory, and solvable lattice modelsPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Quantum discrete isomonodromy system from the viewpoint of quantum Teichmueller spacePrincipal Investigator

Principal Investigator

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Research Institution

Quantization of difference nonlinear equation of Painleve typePrincipal Investigator

Principal Investigator

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Research Field

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Principal Investigator

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Principal Investigator

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Study of Classical and Quantum Integrable Systems and their discretizationsPrincipal Investigator

Principal Investigator

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Principal Investigator

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STUDY OF DISCRETE TIME EVOLUTIONS IN DISCRETE QUANTUM INTEGRABLE SYSTEMSPrincipal Investigator

Principal Investigator

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Principal Investigator

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Principal Investigator

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Diflenence equation versions of integrable systems and geometric structures in the backgroundPrincipal Investigator

Principal Investigator

Project Period (FY)

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Research Field

Research Institution

格子模型と等価な差分方程式系の研究Principal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Institution

ヤン・バクスター方程式の楕円函数解に付随する代数的構造Principal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Principal Investigator

Project Period (FY)

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HASEGAWA Koji 長谷川浩司

長谷川浩司ハセカ゛ワコウジ